Details

analyze2.1s (23.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5205	200
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample329.0ms (3.5%)

Algorithm

1×

intervals

Results

222.0ms	129×	body	128	valid
63.0ms	68×	body	1024	valid
23.0ms	38×	body	512	valid
7.0ms	20×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify236.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	1604	50
1	1604	50

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
12×	`add-sqr-sqrt_binary64_1464`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-/r*_binary64_1386` `times-frac_binary64_1448` `pow1_binary64_1503`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `div-exp_binary64_1493`
3×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `prod-exp_binary64_1491` `distribute-frac-neg_binary64_1405` `distribute-lft-neg-out_binary64_1401`
2×	`associate-r/_binary64_1384` `associate-/l/_binary64_1389` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l_binary64_1387` `frac-2neg_binary64_1453` `tan-quot_binary64_1601`
1×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `cos-neg_binary64_1573` `atan-neg_binary64_1626` `cos-atan_binary64_1621` `unswap-sqr_binary64_1410`

Counts

4 → 73

Calls

4 calls:

11.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.0ms	(*.f64 ew (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series312.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
111.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
55.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
29.0ms	(*.f64 ew (cos.f64 t))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5910	1068

prune101.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Error

0.1b

Counts

86 → 5

Compiler

Compiled 3014 to 537 computations (82.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493`
3×	`cbrt-prod_binary64_1473` `distribute-frac-neg_binary64_1405` `distribute-lft-neg-out_binary64_1401`
2×	`associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `associate-/l/_binary64_1389` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l_binary64_1387` `frac-2neg_binary64_1453` `prod-exp_binary64_1491` `tan-quot_binary64_1601`
1×	`cos-neg_binary64_1573` `pow1/3_binary64_1524` `atan-neg_binary64_1626` `cos-atan_binary64_1621`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
2.0ms	(cbrt.f64 (cos.f64 t))

series359.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
112.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
69.0ms	(cbrt.f64 (cos.f64 t))
63.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5830	1019

prune106.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Error

0.1b

Counts

83 → 6

Compiler

Compiled 3498 to 535 computations (84.7% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493`
3×	`cbrt-prod_binary64_1473` `distribute-frac-neg_binary64_1405` `distribute-lft-neg-out_binary64_1401`
2×	`associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `associate-/l/_binary64_1389` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l_binary64_1387` `frac-2neg_binary64_1453` `prod-exp_binary64_1491` `tan-quot_binary64_1601`
1×	`cos-neg_binary64_1573` `pow1/3_binary64_1524` `atan-neg_binary64_1626` `cos-atan_binary64_1621`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 (cos.f64 t))

series353.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
112.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
68.0ms	(cbrt.f64 (cos.f64 t))
61.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5830	1019

prune125.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	78	6	84

Error

0.1b

Counts

84 → 6

Compiler

Compiled 4367 to 559 computations (87.2% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493`
3×	`cbrt-prod_binary64_1473` `distribute-frac-neg_binary64_1405` `distribute-lft-neg-out_binary64_1401`
2×	`associate-r/_binary64_1384` `cbrt-unprod_binary64_1475` `associate-/l/_binary64_1389` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l_binary64_1387` `frac-2neg_binary64_1453` `prod-exp_binary64_1491` `tan-quot_binary64_1601`
1×	`cos-neg_binary64_1573` `pow1/3_binary64_1524` `atan-neg_binary64_1626` `cos-atan_binary64_1621`

Counts

4 → 66

Calls

4 calls:

8.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 (cos.f64 t))

series367.0ms (4%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
116.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
76.0ms	(cbrt.f64 (cos.f64 t))
58.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5830	1019

prune121.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Error

0.1b

Counts

84 → 6

Compiler

Compiled 5050 to 493 computations (90.2% saved)

regimes214.0ms (2.3%)

Accuracy

Total 0.0b remaining (32.8%)

Threshold costs 0.0b (32.8%)

Compiler

Compiled 2784 to 1528 computations (45.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	50
1	88	50

end0.0ms (0%)

sample4.1s (43.7%)

Algorithm

1×

intervals

Results

1.8s	2008×	body	1024	valid
729.0ms	4497×	body	128	valid
580.0ms	973×	body	512	valid
205.0ms	513×	body	256	valid
12.0ms	9×	body	2048	valid

Compiler

Compiled 593 to 328 computations (44.7% saved)

Details

analyze2.1s (23.1%)

sample329.0ms (3.5%)

simplify236.0ms (2.5%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite32.0ms (0.3%)

series312.0ms (3.4%)

simplify60.0ms (0.6%)

prune101.0ms (1.1%)

localize26.0ms (0.3%)

rewrite24.0ms (0.3%)

series359.0ms (3.9%)

simplify58.0ms (0.6%)

prune106.0ms (1.1%)

localize31.0ms (0.3%)

rewrite25.0ms (0.3%)

series353.0ms (3.8%)

simplify57.0ms (0.6%)

prune125.0ms (1.3%)

localize35.0ms (0.4%)

rewrite28.0ms (0.3%)

series367.0ms (4%)

simplify56.0ms (0.6%)

prune121.0ms (1.3%)

regimes214.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (43.7%)

Profiling